A semi-analytical boundary integral method for radial functions with application to smoothed particle hydrodynamics

DOI10.1016/j.jcp.2020.109565zbMath1437.76034OpenAlexW3027356867MaRDI QIDQ782011

Wawrzyniec Kostorz, Anton Esmail-Yakas

Publication date: 21 July 2020

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2020.109565

zbMATH Keywords

boundary integralsmoothed particle hydrodynamicssemianalytical boundary

Mathematics Subject Classification ID

Particle methods and lattice-gas methods (76M28) Boundary element methods applied to problems in fluid mechanics (76M15) Numerical integration (65D30)

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A new SPH density formulation for 3D free-surface flows

Cites Work

• A general method for evaluation of 2D and 3D domain integrals without domain discretization and its application in BEM
• A geometric formulation of the Shepard renormalization factor
• A variational formulation based contact algorithm for rigid boundaries in two-dimensional SPH applications
• Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree
• An overview of smoothed particle hydrodynamics for simulating multiphase flow
• Unified semi-analytical wall boundary conditions in SPH: analytical extension to 3-D
• Dynamic refinement and boundary contact forces in SPH with applications in fluid flow problems
• Unified semi‐analytical wall boundary conditions for inviscid, laminar or turbulent flows in the meshless SPH method
• Fast and accurate SPH modelling of 3D complex wall boundaries in viscous and non viscous flows

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